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yaroslaw [1]
3 years ago
11

Solve the equation. \dfrac18 + c = \dfrac45 8 1 ​ +c= 5 4 ​ start fraction, 1, divided by, 8, end fraction, plus, c, equals, sta

rt fraction, 4, divided by, 5, end fraction c=c=c, equals
Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

Answer:

c=\dfrac{27}{40}\\

Step-by-step explanation:

We are required to solve for c in the equation: \dfrac{1}{8}+c= \dfrac{4}{5}

Step 1: Collect like terms

\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

c=\dfrac{27}{40}\\

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Joanie watched 1 out of three of a movie in the morning
Archy [21]

Answer:

7/15

Step-by-step explanation:

Determine how much she has watched.

1/3 + 1/5 The common denominator of 3 and 5 is 15. Multiply each fraction by an amount that will make the denominator 15

1/3 = 1*5/(3*5) = 5 / 15

1/5 = 1*3 / (5*3) = 3/15

Now add the two fractions together.

5/15 + 3/15 = 8/15

What is left of the movie? The whole movie = 1 so that which is left is

1 - 8/15

15/15 - 8/15

7 / 15

She has just a bit under 1/2 to go.

8 0
3 years ago
Assume the rate of inflation is ​8% per year for the next 2 years. What will be the cost of goods 2 years from​ now, adjusted fo
Paha777 [63]
<h3>Answer: $326.59</h3>

==============================================

Work Shown:

F = future value

P = present value = 280

r = rate of inflation in decimal form = 0.08

t = elapsed time in years = 2

---------

F = P*(1+r)^t

F = 280*(1+0.08)^2

F = 326.592

F = 326.59

8 0
3 years ago
The desert temperature, H, oscillates daily between 30ºF at 4am and 70ºF at 4pm. Write a possible formula for H in terms of t, m
densk [106]
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5 0
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You can use the formula a = h/n is you want to find the batting average a of a batter who has h hits in n times at bat. Solve th
Akimi4 [234]
The formula is:
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6 0
3 years ago
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